This is a flattening of Herbert's angle - it is explicitly stated in the quoted section in the article that part of the reason for the ban is that the people who control thinking machines would exert outsized control on those who depend on them. This is a recurring theme in Dune, as we see with anxieties about dependency on mentats and Bene Gesserit truthsayers (the latter of which are in fact exerting hidden influence from their positions of trust).

Suk doctors are theoretically safer because of their imperial conditioning, but even that can be tampered with, as we see with Dr Yueh. This is a central problem in Dune: Whatever you depend on will gain power over you (or whoever controls the thing you depend on). Dependency on spice, on truthsayers, on mentats, or on thinking machines - even specific relationships. All of these are systemic vulnerabilities and therefore potential attack vectors in Dune.

(Edit: Suk Doctors get imperial conditioning, not mentats)